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1311003323124 = 22311127510715313
BaseRepresentation
bin10011000100111101111…
…000110010101011110100
311122022221002001011221020
4103010331320302223310
5132434413322314444
62442133331021140
7163500612244545
oct23047570625364
94568832034836
101311003323124
11465aa221a770
121920b843a7b0
139681c916521
144764aa824cc
152417ee1e119
hex1313de32af4

1311003323124 has 96 divisors (see below), whose sum is σ = 3364254007296. Its totient is φ = 394042682880.

The previous prime is 1311003323117. The next prime is 1311003323137. The reversal of 1311003323124 is 4213233001131.

It is a junction number, because it is equal to n+sod(n) for n = 1311003323094 and 1311003323103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85606092 + ... + 85621404.

It is an arithmetic number, because the mean of its divisors is an integer number (35044312576).

Almost surely, 21311003323124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311003323124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682127003648).

1311003323124 is an abundant number, since it is smaller than the sum of its proper divisors (2053250684172).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1311003323124 is a wasteful number, since it uses less digits than its factorization.

1311003323124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20565 (or 20563 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1311003323124 its reverse (4213233001131), we get a palindrome (5524236324255).

The spelling of 1311003323124 in words is "one trillion, three hundred eleven billion, three million, three hundred twenty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 127 132 254 381 508 762 1397 1524 2794 4191 5107 5588 8382 10214 15313 15321 16764 20428 30626 30642 45939 56177 61252 61284 91878 112354 168443 168531 183756 224708 336886 337062 505329 648589 673772 674124 1010658 1297178 1944751 1945767 2021316 2594356 3889502 3891534 5834253 7134479 7779004 7783068 11668506 14268958 21392261 21403437 23337012 28537916 42784522 42806874 64176783 78203491 85569044 85613748 128353566 156406982 234610473 256707132 312813964 469220946 860238401 938441892 1720476802 2580715203 3440953604 5161430406 9931843357 10322860812 19863686714 29795530071 39727373428 59591060142 109250276927 119182120284 218500553854 327750830781 437001107708 655501661562 1311003323124